Deformation of a plate with a curved profile
Add a curve.

Give it the extrusion you need (In the properties edtitor: Geometry&gt;Extrude)

Give the curve a flat shape.
Add as many subdivisions to the curve as you will need for the final shape. Adding new subdivisions later complicates things.

Exit edit mode. Add a shape key (use the + sign on the right). That will be the basis shape.

Create another shape key it will be called Key 1

Enter edit mode again and move the control points to where you need.

Exit edit mode. Don't worry if your shape go back to the basic shape. The deformation has been recorded. Just set the value for Key 1 to 1.00
Make a new Shape Key, but this time click on the little triangle on the right and add &quot;New Shape from mix&quot; (Key 2)


Enter edit mode again and keep reshaping the curve and adding shape keys.

When you exit edit mode change the value of Key 1 to 0 and bring up the value to Key 2 to 1 before making the next key shape.
Keep making key shapes and deformations until you get to where you want.
To view all of the different shapes just bring up the value for individual keyshapes. To make an animation from this, add keyframes for the key shape key values.